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math.DS2026
Symplectic Tiling Billiards on Complete Affine Tori
Charles Daly, Fabian Lander
In 2023, Richard Schwartz introduced a new dynamical system which is a marriage of two types of familiar billiards, tiling billiards and symplectic billiards. In this paper we inve…
math.CO2026
Asymptotics of the Meandering Number of a Cyclic Permutation
Charles Daly, Diaaeldin Taha
A cyclic meander is an embedded oriented loop in the plane intersecting a fixed infinite line, or circle, transversely in a linearly ordered set of points. By keeping track of…